{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.decomposition import PCA\n",
    "from datetime import datetime\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 566 entries, 0 to 565\n",
      "Columns: 646 entries, 0 to 645\n",
      "dtypes: float64(646)\n",
      "memory usage: 2.8 MB\n"
     ]
    }
   ],
   "source": [
    "healthy = pd.read_csv(\"/data/healthy.csv\", header=None)\n",
    "healthy.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1091f1c18>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(healthy, cmap = \"gray\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 571 entries, 0 to 570\n",
      "Columns: 512 entries, 0 to 511\n",
      "dtypes: float64(432), int64(80)\n",
      "memory usage: 2.2 MB\n"
     ]
    }
   ],
   "source": [
    "tumor = pd.read_csv(\"/data/tumor.csv\", header=None)\n",
    "tumor.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1090eb320>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(tumor, cmap = \"gray\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10, 5))\n",
    "plt.subplot(121)\n",
    "plt.hist(healthy.values.flatten(), bins = 30);\n",
    "plt.title(\"Histogram: Healthy Brain\")\n",
    "plt.subplot(122)\n",
    "plt.hist(tumor.values.flatten(), bins = 30);\n",
    "plt.title(\"Histogram: Brain with disease\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             mean       pct\n",
      "cluster                    \n",
      "0        0.020708  0.373330\n",
      "3        0.113364  0.309745\n",
      "1        0.197404  0.189057\n",
      "4        0.325727  0.076316\n",
      "2        0.489015  0.051551\n",
      "Inertia:  300.5942857100505\n",
      "CPU times: user 9.36 s, sys: 280 ms, total: 9.64 s\n",
      "Wall time: 1.9 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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isQ52TK36139eeh702WfyIE++TklYGpYaV0pEuSQkYR2LJLEuMtrIqX2vwnkKX8PSgWPiaief1cMjCLluzKuvVIccQ0JAutMvB8Pv2HaTshHJ6zFbuZQQ2CrVto2QjCz1TBdoatYMuDSTsL+/Hx1NLRtPx+qQY8cByo9CGgPLCXGMqibjzFXNgKNqao1UxIgdrw20l45OhGSkK1hXWGzvatlAuEBZvZvitI2OcSgt79ITZ2uxt7eXvY95LrTjY2nexxDRXDF7MgKOSyi6IlIr8OUUvndyp07vJGHdnrW50KNyjnQk1Td56CbbBBnWZvZjd62UcetnsXxbtqJctCJc3Yekh7nGqlS12appsgC4kHSn8vautmxEMYO1h5NGSjko+eZ1lY+XbsznTBt9c2aVrLjlO0w6KX8jDe3fVkMwrSQjPTCfP3/eJNOxA9qJUNMYVoV5e1drcCPpRGQj10bT6r2x8NJkKUl3MJaYOIzlgzMVdF6lnQgoJ6LWdrHccliFdDR7MvL0aZ7BiCHm+p6T7iYRUgkxeGqQd85Ybnyrhve97HnPExUMSUhAfke0zlyTaee4FTDY6ZH3Z58b1tnuZ+mBbflcyIaTw9JjiEhizqTE+cqxWcR+l5LQuiQiD9rWJKH9knizND52PAe1m+NZqs7+/n41CU01W5hjR10FZmcz0rYiy809ZbBuQUIW1t35NPmMaZy50+Ip0ll3mTA4n3p7WMsFhCEXwAJ5B21a9zjO2CApB8cWElFrNVOWgVenY+xGG7s2TRdGCRFZ71v3vdFr3Z1Lb+MgG69WF0qgjfdeo9NlpMspp3OuAzIflpEaiB/CUCL96LVhXieVeaq1Eek8rkK1W1edzspmZPkUyREgx2AdG51qClhOBa+igqSKatkVUgcUeijZ6jX1nXMjcM6DN4gBl2bULNU2tzwtcgb8nRunLKep1KrYFP/UmI1k5C2Clc9zCik3TEx6ks9Wdba9Ft9bqGJWGqlvt/7Hwnjh1gEvH9Y+RNbAZpWPvs61qWnEDNYybznr0uZo+G6BWUlGGlI9K92qwet4sjN5HTPWGVtC5iFHAhpDBGMkoTFxT4VcVcIiIkbNEg4J7S8UU9esQcWq41rJtyXWNbgkDdhEdAOAtwH4RgBfAXBnCOENRHQtgLsB3AjgYQAvDSE8SgdGnTcAuAXAlwG8IoTwoVgaZ8+eDXfeeecxqYjJKKdwLMnJ6rQxgloVWqefIl4dTl9vAlIDhLwvDdNaAootB8qJm9tmauM+jZJlSDothrVItrXzY0wTmIMB+3EA/ymE8CEiugrA/UT0XgCvAPC+EMIdRHQ7gNsB3AbgewE8Y/i7CcCbhv9JLJfHtwbJHbn0LIrXEWMS0dSYSuKKSXexe7ospiqTVHmX1IeXVy1h6qPL9bOaNrAU6p21cNbqrKk0clUuPhQAOLmqWpKMQgifBfDZ4fpLRPQAgKcCeBGAxRDsrQD2cUBGLwLwtnAgcv0REV1NRNcN8bjQUhEjVz1L2XYsKWlVWDUB1nSyKfKgpbAcySMnXu++JhsNuV3rmPrIkRB0e6tNS5oqJJiQWniTe64NDD3DOxWK/IyI6EYAfwDgWwF8OoRwtXj2aAjhGiK6F8AdIYQPDPffB+C2EMJ9Kq5bAdwKAFdeeeWzb775ZgDHN7GSU/m6QDzHxhJJYUqSmFriGIOpvruEhPR7tekxpArlhfEkqlT8/D+1X1ZuXiU8KccjIqB+p0cL2sfIa7dTq2nZBmwi+moAvw3gp0IIfxcLauXFyNydIYRzIYRzV1xxhRmRbFRehecQkYcpO+PciWjq+FPfP1UeSp03U/lIfcdUEkNsL+spEHN2XBWyyIiIrsABEf1mCOF3htt/TUTXDc+vA/DIcP8CgBvE69cDuJiTjj6FIaWDa9f61Ag3ZWFvbW0dmb6dOr0xmANZxqSV1Dua8NkXjFec63f0t9YMWLF3cvZTL00XOEpE1pYfgL84ODd+fi/1navYhiZJRsPs2FsAPBBC+EXx6B4ALx+uXw7g3eL+j9ABngvgiyl7ERC3FXnbiSyXyyOnfeYQwBhJysLW1taRXQHmMMLkolU+xxJbLjnGnsX2Mh9DRjK81SH1KvwaWHm3yMUjJI5DkksK1hYqmtxXjaQBG8DzAPwwgD8joo8M9/4zgDsAvIOIXgng0wBeMjz7PRxM6z+Eg6n9Hy3N1M7OzpEG41U43y9d6JdLXLH3AXv7W08VmCNB1eTJK7tVfJ8sd20ziUlEpWlMITXWxsXt2lPVLOfY2DveZvxzaJ+zWCh71VVXhXPnzh1xHvP2HOZr3ixNnsygR4rWBWyRkF5mYIWfQ0WPhSzfqZ3yYmWpYZ0hxuFrJSAvXj0oerNM1uAZGwC1FJIzuFo+R7nb8PJMnOf5LQmKv/HUbK529uzZw8KwTviw1DTZWPhe6hSJWsg0eOtazqvXEazr3LRK7k+N5XJ5xGEv5kJhfbfX+WK2vpxvTa0ZrJWKGFYb0h7bkpT0AOqtV9NIzaTFoN/1vPitE1ZifWRdPkyzkIzOnTsXXvjCFwJIS0VeI5+qs8akIS/dKSWiMURXAz4XrMY2oiUBS/Kwwup3dDyys3jT+GPJqDSOHF+cHKkIiB9HVGKSSHmZy7ZtvbdqySjHZrRSxD56XUQEHK1YvajXemfKPKWIuVU6UvKoMdB6BAMct1VYBKSvgfioPbY8VkHu/D053zHW0zpGdBbJy/dke1/FTBowEzWNYTG+dmpkWxFjygZkVZhXgatErCG1ilvvILC1tVWdZoyUPMnJupdrs1rVYCXB0kPM7sl5SREMl7UVbqxfk3Y9WS6PLuJdBwkxZkFGFy8euCFpkXsVLui5sEhJP2+VTmnYFmlLEpIq6fb2Ns6fP18962JJcVY5WtKQvCc7JtvtPPtViuBS+a0pT8u04Nk6NaR9aHd398g6NCt/rbeV0ViXe8qs1LSUk6Oll3vSy6rRihhqyGgsrFGYR3qvXGvWK6UIx0pHXpeoLatuA9Ku4s2mAZeOApLfYZ1uHFtx0PrbVjVLmsIsDNhnzpwJFy9ePLalrFbReLTZ2tpKnsgwFlNU+tzyITtFbO+ksSRkpSv/6/sW5Bosa79m/hbPC3tMvkrhrehvUW45ecwl7Nie31Kya2HEzjFgz4aMzp49a06bWqNk7qZYtY1qbKOsJRAr3bESn47TkoL0gYSx9V0tkFO+8lnMX0Z/19R5z4HsvFOaGmoJKeatztBkNBYbRUZ33XWX6achGxtXrty7aIwxU1/njjxTIkdqKBnpOaz0FfI6redAN0VZlMRpebpbPl6pONdVp1PBG1i8fY9Si4g9R88WpLQxU/tnzpwp2phKNszU9GUM+jl32Dk2Wi9PNaPjHGwvKelRqmWeAyAPUMAllV520HXbQFrCKyvtk6TrVaqtusx1nJbh2nPynAKzIKMx0Hu+1M76zGXnvKk6v+dIx8Rk7Z2zTlIu9bGRHa32DLi5ICePWoLOcXBMqY25mkELJ0gLs1DTrrrqqvDYY48d/vbsRVyY+8OxxbX2Afk85s07V3gqnKVq6m18JWlb6g/Q/hBMLerrDhHbHzrW6C3P/BRKvytXqhgDz7u95Nu8NsHXUoqUSKUZI/ASQtqYtWlnzpw5vM5h3X21zWwutBgvsQlbf3gNwxvRaohI75iQg5z60tfyHUtq4zzwwGOBnTFrz62PdXZN7KXPS2CtcdNuFRrWerjYmr/l0vait+KR76QkpJaYhWQkj7dm6NFZMrssuJqRzpp6rYlrapQ2+JRDnezUOQbhVYEHCD1tLxEjT0bMOF+Tp9qyyJEqGJ4bgPwde0+33ZTB2pOQdPqlRJMakDZmNk2SkSwE7U/kGdBKGg2H1RWeGgFbIxVvLQGVbFe6LgLSjV3XiaWC5+z1bG0Y1hI5M1Mx6HLOVXM0McSIKEboHLY23RRi8W6MmlaKmH5c+m7OCuhVd1apSrLobUk91r2STeYsB8EalBozvUFFbgrmrSSP7WYYI6oSaUWWuVX+LIHl/sk8yLSn9EHi9Kx7OelOnTcLs51Nkx2SkbInSbUm1eBYcogZwbkx1YyCOaKuzqcWta2ROGYb0WucYhg7IyK/r3YEle/J/azkPevE1b29S0f0WKqntSOAV9YSfC+nvmOSmyTVnZ2d6BYdOV7OXlvi+157HzPQpCYdLIyd+p+lZJT6GDbuWY0rNQLKezEpgsPVnsyQQ0R6Nbw1Aqc2i2M/nNKtd8fC6xy57+r3ve+MbSAm1RFrU/oSaWishCglt9gRQxZyO7s36yZhPbO+zaqDVNolvoA1mKVk5NlweCTRBmxZSSnvbG6YOR7G58+fn1RcleK+B0s68IzS/DuHQKdUPUsMoDofln8Rl0HK90iWZ2zdVW6+ciUpmb7Mb04awFGjcUxijQ0A0n7kpc1lx5vlpdKTYWRa3nfIfNZIR7MkI+DoCBhbzCkrSBbAYtj3SK9f0sgZMXNUP5Zscg3CUg31fH0AX2XQ0/SMHCKyzqAvhVQrtLpWop5a5ertzczPPLKSzz1CsvJgPY/dS4WXZZtLgrLMdJu2ylMThNVGvXR1v0kREoepnWnLxWxn02RnlSOOZHVdqBq57JxLHjlkBPjOk/L9GIF4Dp259qIUWsyi6dlIz11CI1aOpfmxlj5wPLrteMSjibElrHhTbag2L7E0+Lck6OXS9shOTfvLcLKvWunJuDZual9+rOWVy4XJLJ0iI4ZU+2LTn7mjoBVOOhjKzm79yXxoxDzLdd4lSm1brQhJj9A5NgtPoqhZU6ZtbDJuXSdWmBRyJZsS5A5+EjnkX5rXlGE8R13ksNoNh8mOsTELZRlS4pEzSt4ygVShSXAlSUOjjj9GOEwElj3LIxYZjxRxayUxL42UM2DszK0xW254qoUVT8vFq56EyJIzQ89AekQUk0YsCcr6XYJYelLV188tk0SszVr9wpKEUuq2jqek35VgVmRkdVRvf14gv8N4m7FxJ7U6ZWy9lIYmMyIaXVklhKfBRMQds+S8dsudoKbT8YBSukwjVd6ekydDf3tOnMBxm4tFQjEJL7eMUuE8I/1yuTwyOePFm4o/ZoMqsQfpsJpAl8vjk00pzIqMGDkNWBKXJTaymKgJTkpIUu3zGpYnPVgjF/9uOWLU+jlpfxcLlj+OVi9bQ38Pk+xisTj8PwbetLrlB6TVCt2ZWpVBaVx6TyJuy9ImpsGmC30vlidt8/EIyZOQGHLrnTHlNksyiq0x4oqR19JesVgsDhdOcsPLVY1y8yDzYl3rfMqZiNawiIbveSQ0xeGTGkxs1myYjHt7e/tIuWgSibkxcP16ZSClSe0QatndUvUp/8fUe6/s9LNYGWvisUwYEq3aVszmp9uwJi5dJqVtaJZkxND6s/w4q/C5orxV4LpwYsZM7kz6nodYIwshHOt0HnTH0lPW0sGxxiFzlevRZBl6bg9cLzk2Jc+JUJcFuy7Eytw7gcPzFeLR33I50e9aZgGrvDXBxaAHWe95iWuJRWyeqiYHVw9jpepZemDrCpcfF/OHKFFpUgUmR0B9z/uvw/G19H2Rz2JbY8hry/ZS6xneEjUTBx5SnuZWGFl+vGZtf3//WBirnJmUZVhWEy1V0sqH/pPw7GXW2jXeBkUPtpaROoYcIsodUEuQOyOdwqym9oFLpCKhfSM0YkbqlL+Jhn5eY7OJSVuW5JZaiS4loVqJSKJGbdXQI2jK+BmTAmryklL/xqQhB6pam10uvEGmZmmP59+mbae6LKRhnE/okfaj2KAjXQo4HpkPfrfJ1D4RPQnAHwC4cgj/zhDCDhE9DcDbAVwL4EMAfjiE8PdEdCWAtwF4NoDPAfiBEMLDqXQ446W6rxRPJbiAUksI9DsS3qxGbUfWql8OKWkCKtkixIOeAi9BbDYmBkuNbaUqaiLSpG/VWS5xpYioJF4Lun1y5+YZWR2v15YtAuBBms0EEjJMbPcGWd+eaQQ4OvtcW69JyYgOqPLJIYTHiOgKAB8A8JMAfhrA74QQ3k5EvwrgoyGENxHRjwP4thDCvyeilwH41yGEH0ikEYAD24o2LlqOVMzWUorKmRIuGT3H+sXEpCMPJdP3EjXE1EI6Gosx6ctOGfO89tJr8e05Ul6qzxL5AAAf2UlEQVQO8Vp+UClpJAbuI/v7+66NUMevCSdnwsXzuWNyk5pME8koHLAVb1B9xfAXAHwngH8z3H8rgCWANwF40XANAO8E8MtERCHBeqzr54jF/JElhFEywsU8nfU7MdJJNVbZUKXUFJOULOLJUd/0NP8UM3ul8MooVa+StOU2udZ7uoz1fe93Kt8twjAsJ8eF2JkiFRc/l4SytbV12Kesb02RTUoisghRD/ilbSzLZkRElwG4H8A3AfgVAL8A4I9CCN80PL8BwO+HEL6ViD4G4AUhhAvDs08BuCmE8LeR+I8sB4l1cC6k2KmysgKtkSlGEpKIcqf1U3nOQaxTtjJWW7NOcnlNDVK2ohxIiYYRK3tNRqn3vAHAChdrLyXEoO+l2itwfKE3P8uRUPS5eFw+MQlYxptjG7Lq2hoIrO9pvjaNiK4G8C4APwPg1xUZ/V4I4Z8T0ccBfI8io+eEED6n4roVwK3Dz2fzB8sP1Eg5X1koGcWsRm7Nklj2lppGqp/rP52uRs16NOu9Fqv4SyEbdqxBM5iwPI9rfk+/o5FDKDXvpJ7HpDZP8uB0c9q7JB1NMqm0cuANOFbd8f1SMkqqaRIhhC8Q0T6A5wK4moguDyE8DuB6ABeHYBcA3ADgAhFdDuBrAXzeiOtOAHcC9ob8GlIqio10LRpgrXoWIxPvd4qEGBYpxhwELfDaOot0azrpGGhnOYZFKDwF7hERf5d+z0Lu4BSrr5o4taF6LDloWH1jZ2fnMP6x6eRIwGNUNCDDz4iIvn6QiEBEXwXguwE8AGAPwIuHYC8H8O7h+p7hN4bn70/ZiyRilZ66X9MA5bOxuyVa0kxsJk8Tkn4Wu2eJ/OxTk/oGvViY8zoVLPWDIb/Rc7+InSqr68wanEpIVof3rnPjlm1AGnZzUdOptVS/CvvgmHWMjBzJ6DoAbx3sRk8A8I4Qwr1E9OcA3k5EPwvgwwDeMoR/C4DfIKKHcCARvawmY9ZHad1Yh2s1suca0j1Iwtjb2ztsDDXbWMQkLBkP/+eG76lk/F3ecogppSNrdPVUs9QIy/mX9i6Zf0vaTH2fRUT6/RRiXt25kN9TQiTaNab0fZm2riuvHKwyqyW/JBmFEP4UwDON+38B4DnG/f8L4CU1mYlJNlw4MRd/qwHmgtUAufyiFCnpQi4E9dY2xZAama30tdHa8nOaCnKKGThud1gulybp1xCiJ9F4HUj/9wgnNy8pA7wVz5QSS60dUNcZUCcR1mBWHtgxklksFgghHNmX2jJelnby2kK1KijHyByr5Ny0POSoWqwqtCIBD9IfzLM1yBkmnbY+DVciNdMZQ4uOFJN+SuJOTZnXSDWybsfMcpa+y+Xq5XnjNldLge0DXOGeEbQUOf5KOSI+o6XEYY3oqXSt7TL4ufcdrUc6TxrS6WlJlq9j9SmXLKTyXbocKBaHhPbuHlN+1izxWKmJZ31r40lN8zM8ibIGsyYjXaCxEXEMAeQ6ROY0uliHr0GqsWuyWi6XRzZVi+XTSmcVsNSk3DzIwWhqsIRRuiQkJ8xyuTwmBY311+J4S5ZAWZA+R/raSxMYT6CzWrWvR0TdCEpW5JekqUfmWFyxuHPyl5J0rHzlfo8Ol+pIqyQgnWZtujmnxkpsb28fO60jFy3LLlafrYhIkwF7YZfELSVa61qjZfuZnWRUIuGkOrO8rhm9UmEtovJG/dy88XXOWrrcPMqR0srXqiWiVJhUOOkQWBq/DFf73a3Ly+rouQ6+evZLD+hjvtEr36nay6wM2JYNYLn0l4CselTX6abSL+0smohy38vNw7rKS6bt5SFG0LHtQnLIvzbdMWFT0CSTMvan4tLvc/5kPnPVKI/sGVZZp+I+UQZsnk2bE0obb044YPyOeWPROt0cEpZpWt9e65CaKnfrec63jy2fmDQUS9NK15ossAhD2n9iedL1YOVjCszKZhTzzl0HSiWflnGtW4ppQUiaYGLhdBgrPNuLvLIqze8qO9pYWERtST/WOxIxv69atPKXmpWaBhxV1fg/fyzntcXsRgqtpJ6cdGqe1cY/dWezRlWv48Q6E/+2ZoVix0d7xDZXktHwyskLa12Xpgekd4P0kEtEG6+m6UY0dsqyJn35PxYu1mBqGk3LztPCGJ4LjxhqyyFV5zGyjUkNc0OKUL13PNJKvasPu5gDZi0ZAQeFKv0ctBHbc1hsVcCpCm5ZkVN0nuXy0uxKzULNmvRKr2P54Wfa5SNWVqWj+7rg5c8j3xpfulTZyrYhw69DMpolGQFHG6naF6XJEotSlIw6tXkYm3fZQa2OWrMebmx+YnmUv2PQJ6nqbygl2NIOZ8U/htQtgrUgt3kZqxV4u1/q7Xtzv6vUTrTRZCSh3eTlb+2VvYpRv6bhx563HslTI+4qCClXYskpn9bSb0n6rWClk7OWMWfPqpxZRq/OrfJdLi+503iYgoxmYTP65m/+ZnziE58AYHujeu7pFqYU0XUjzkmjhIxawJOKgONH2UyRduqeVYapPOg1d9Z2I2OJaVWkBKTVMPl87JbDJaqdlJxbzbSVYBaS0dmzZwOTEZCWjmTD8baHtdC6wbXuzGNR09FjkGVu1UkO+dTez31eGi4VVpJTK8LT8VtkU7prJ8PbuULfi5W/Du8t/xgzhb8xapomoxRYVSshIsZU5BGTAFaFFAHNgThrOnWuxNWKkGLhx0hS+p3ao6kAexCO2ZS8fcX1e7FZ16nJaBZOjxcvXkwHEqhtCFMShiQCTQpj8lvawWIddw5k1Aqr/hZPYqqJQyJ3q2AZ3kJLl5d1tZNZSEZnzpwJd911VxHzcoGN2WhLx9UaOYTCenrOToEW0ZWmuYmElPMtNYRrSSpTS9lWmhKxM/C8k1BSp6bod3RZlah1tdLRxqhpZ86cCT/2Yz9WVLms19aoajFMSUw5YnnOOWCxNOT/nLDrQCvpIkZGJVJwaV5aSL0auZJNioQ0ctrTXMhoFmoao8SCzzYjrozcylylB7fEcrk83DK3ZMFnyXfVqHbrwJj8eWSUirtVmYwlIu+90lOR9cELHmInq1jw2pt2qZkCs5KMUhtB6Wl9HT4mmnooGRVag6WlGEryn/NOi860brRWz1L3+ZmlJmuXk9Ip8VwpyTNUj5l189LT55/l7q0Uw8apaYDNwLqiY9P8pX4VjFUTEWOK9HL29J4q7VUgparVxJMTh/UstSWrfj83TattWvalEsROSZbwZtSmJqPLq2OfCLxVZu7m5KWjUWxb23VgCrXCOinFS2PTJSXdwfU3p06r9WxLpWWRS0q58aYIY4wzZKxd6IMGZP9KORyPxSxsRmfOnIkeVcywCkL6G+3u7iZPcQXSe0PPAZokcjuN/F3iCDq1rWUK6O1Vl8tLW+zKI7FL98327un7koBSJgYvjhRke27ZbjnOVF9ZpSf2LMjowQcfPHavZCc8fRpGrMJSksLcoNUQS5IZm+/czjdHSMO9Ro30kEvKMUkoZeytKVdPVSuBdbqwlYbE1EZriVmQEUMa2fRKbeD4SCTvt57ir8W6OrAlSXkSlXdvE8iH8yintS0VRna8mu1qc+ANjjkG31RZa4mIf3P7LnGU9JDqKzr/UxPTLMjozJkzxwqGj4LWFe4VyPb29qGatg7M2fZikU1KyporQen86NG+NL+x8LFp7lJ4deCBVTLtENtyEa0FGX+O6tkSsyAjAIf6vkSq0mVBlfrvWOm3wLrIcAw0Ac0ZnD/ZEXd3d5P5tqQAi5xz009BS0fyva2trWyy99pTLRHJ9+Y2mTO72TTpyLizs3NoD5KWfM/CT0RVJ4jUdEDrHcug2tEGOZ2WNweL7Xcl46uRihgpiUHPBuvwOYNWLIyctClBjS/eqjAbyQi41OBkgS2XS9dIaGGdBbsJs3SbBos0rLq3pKOYpJw7UEyxADU1bZ8zIzwF1i3VZ5MREV1GRB8monuH308jog8S0SeJ6G4ieuJw/8rh90PD8xtTccvtQ2RFsQ0o1XC0ujYlWovzHbbB3SvnWIfxOnGpjUev+Woh5abyIN0RPEg7EmMK4zznYZUzaUCZZPSTAB4Qv38ewC+FEJ4B4FEArxzuvxLAoyGEbwLwS0O4JPSHa9+hEkJKwWr8ue+1DHeaoMskVvYxIipVS2rWLsoDI6UTYE4cXgfW7bNEgtYEpPNRu/1I7l5Iq0LWchAiuh7AWwH8HICfBvBCAH8D4BtDCI8T0c0AliGE7yGi9wzXf0hElwP4KwBfHyIJyeOtgaMVLxvG+fPnzaUiEtKuFEMrO1GLeE8Spvp+TURsC9L2IWlvjG2rkdri1du8jNtgjs1Iu594B0e0IoIYUXuExUs/tCuN/E4eHOayudrrAbwawFeG308B8IUQwuPD7wsAnjpcPxXAZ4YMPA7gi0P4IyCiW4noPiK6j+/JmQetrvH93Kl+DudVdKlE1IkoDy0N96y2LBaLYx3NOy2D/W9S+/tolSglcdUQRsxPR5ZRKzujt1FbjIh0Xiysql0nyYiIvh/AIyGE++VtI2jIeHbpRgh3hhDOhRDOeWlvb29nqWt6JT+DSa0FIaVQo/adVOTMfKX+mIC8TcY8SYn9zTTGruUC8khDel+X7OU+Fh75plS4mPq56k35k2oaEb0WwA8DeBzAkwB8DYB3AfgeNFbTGJpQZMPjRpdaLqKnVmMNKma7qEUnpQOkDNIpAs+RXuT0fcyu5HXM2K6KcjCTZoLajmqpePz9LZd6AHkSkUVGctV+CxUNaKSmhRBeE0K4PoRwI4CXAXh/COGHAOwBePEQ7OUA3j1c3zP8xvD8/TEismB9uCzYvb29oun+GjF0LJl0MjpAimxko7cgjbdW59JEBBxduMrOsNa7luSV478zRmKwVr7zt49R10pVM+8eX696Jg0Y5/R4G4C3E9HPAvgwgLcM998C4DeI6CEAn8cBgVVDNlJtoLQqlkcey0lya2vL3T7B6xR6fRBfW++vi4Csmao5IiYZ6fLXYS3vfO5wKU9ib9YoRjz6FFdPGi+FnmCRkzacTq2EVOIIOYUBfSxmsbmaVtMY1uyDnmVjkdJico+sSkhFk1HN6NWaHHIkPf13EmANFFp9z0HO3kCSjPQsbikp5U73M2J2HMCe9cuBtyE/cPzo85TtqxQbtwe2hmfs48pILYy19PP9/f2qHRDHjh6rJISU6rPJkN8kDxwc47cDHF0Fr6Ui2SlbGXVj8SzVbDJwVKWU+cw1zNfuZLrKNjRryYgRM2jLMLEtHUolJImS2RSZz6mkEhlnTL2U+c3NR064dZNcSR69sNbgIn3aGNpoXVqnMdtLitgsbYBRIxFxnJbPk2wv3Jf4W1vYjzZeMmLowvCOW/Eq11PhcjasqpWIpuqwln3Is3NNhXVLXq3TtQzZu7u7R5wquXO2zEOpY27NHkZ65gywSVCGqyHdFtgIMpKQBSorZnd393D/bA9aetrf3z/cFaD1Vg06v3NGjRSnCSnHjiXTynknFV/qT6ctYQ1o0gAspQctRZTkO9UeGdJGo7+jZD0ah5PvxKQbloq89WirnFXbCDWNkaOuAfElIRyHtayEXeL19OaYXSRbklFuXJahvYZoWoe1wk9B1iXlZMFSzTjeGBkxgWnDr2W7rFHfxpa1Tp+/TftRLRaLw3dbkdGJUdMYlrpmjRKpSgDsrWuJ6NBwaVVCjfrTqrOVxLPKbUzGivO1ElmLuLicWE3b3d11iSgHKcLRM1Tyzwsn0aotybi1PVT3iVVioyQjRo6ExBuz5UyrWmFCCMmFkzlYBxm1ejfV8eV1a0JJqVlePnLAkqO1VQhDS0QliElGFtFJCTy3zVp59vIpy1OmLxfHSqmI32lJRidOMioB25ByYFUyEZn3S6WjOZDRFOlZhJFDSiXPZZxj49XQRKRtiTVEpCWaWGeWqpC0VW1tbZlqnRU/588rH33fIkJpW1qnVARsKBlp/yNPXdvd3UUIIatiLXFZ6v/e3sGrQKwzTkVSrTq/DpcrRXmSly77WFxWPTEJSZ8dbayulYT4feuZp3rxJApLIlLy9txVvLgscNnpPiOlQ028qx74GBuppjFyDdo7Ozsg8qVEr8J1GA6X8vb1VI3Y7xhi4UriScVVE642rlyJR6PECz5lJOY/PeHh5UmrXznp5CA241aSjhePJsutra1jTpB8TxNXK5w6NS0mIXmirwerwe0rdwIL3uhSq57oOEvjHYOp49bxl+zGWAuWhDhtTTApIuJrTWAaqSn9kraYE6cFS/rX7Yz/T0lEudhoyQjw169NJSEBODyBxBuhc4jHkxZi71jv1hBGqXRUuyYvlaa85233KpF7tI5lD0qRgwXP8Gxdl4Lf9aQsbzCUYWLx6nveIKb/T0VGp0Iy0rqwB17HU1rYnnE7hhjZxFSTHJKwJCaNmOQwtfo1NqxHMrm7Mkoi4k6YIiIrb147YVKokWystHPulaCGiLx3V42Nl4wYlv2IYU37e4QSaww5FV2KHCknR2Ji5KyjyyW9kjhl2JjEGFM1l8vlMcdTK35PgrI2QYuhVvrgd0vC5+QhZUrQz3Py6LUvfT01EeVIRieWjAB7gSFwyQAdq4RSUpJGwVLkql1eJ5ZIEUeNNCNnXhgpNalkZ4SSPDEZaRJI+ehYsIigRnKuTTMGSTw8uGrilTsyekTmqWPy+SokolOhpjG0urZcXtqGQRud5X7aOTMQGtaImlrjFkNKfVs1Unlp4eGtyajk23kPbGlfIaLqTqWNvKWqkgzP17E4+HhrKx+clxDC4VrLxWJx2Ga9wSaWXkziXrdqJnFiJCOGrhQeVWIbaKUqJdU4PfVNq4pj1rhJxDrvFGpabrw6fG7YUimpVB3zoFUtKd1apGLVc0yy9ozRWkrhPOh2mDpeKAbZRtYlDUmcKsmIoQuZJaQxJ2/m6OY6/P7gzCZPq2jpOLlqKcrakCwH8jtzvjklJbUiIsBe68jSsjfLpe9ZUpF8ZpGZ/MbFYnHomJsiIq4DWT5We58bEeXixElGDM+G5NmPeCTPEdFrVDt+Lm0cYyQkr7Hl2HVK7UY5apS3V7i0N+XYkVJE1GovakbMiC3vyfCWxGPVvdUG5fdtbW0d271RIzUZIJGaPFgnCZ0qA7aFlFHb2raTK6yVUdKLZ7FYZBuELXgdNxWnpxLFSCCXvBaLxZFOVWL0jqFWGorNdFnPLKLxVLMcQrSkkhJVTKvGMcnS2zJmLlJQJyPHfgQc38JTbzlqLR5M2QhiiL0niTJ1CkkKuWRkEUzM0JkDTUYSY4moRCLKlVg8IoqF4XslpMTQRCTtUnpwSiG1pfBcSIhx6smIoSUkb8rfekerGSUjjtVQU4Zybfhm5Pr4eOGtUdrCGAlJ+wBJ1BJrjIQscuD7kig0eeTYAC2JSMIzTluQJGQdgcQSk3WYIr9v/bfyM1d0MhrgzWZ4s2wMva3t/v5+lcpQamOSpFQyC6d9cCTGqmSyI3hhYmTEKCFVj4hy1CkdNhVOx6vvp2CRkycJ6UFjKZw9+R6/n0pvU9DJSCBXZbPAnYt9iba2tg7JiOPlaeESsT2lTnAYvS+T16FLRmsgPf2eK03J+FIGWSC+7mwVCzZziEmGywG3BTmIAEclIXnWnycFAfNbptECnYwMpIzaMVgGb0vslnG3VOc4nGe4lmuyUmhhWNbQhlnvaB3LsF1KQDEppkT6qZWGtL1IS7LePuoans/QSSAgiU5GBmIqG1B3GggvReD4tH2JUUNMuYbv0pNVW5ORlQfLoG1JAKuQghgtpSHAJyFPZdUnIWucNBJidDKKYApSsuA1vFp7U64B3PLtsRYPWzOINZCSTY6RuDUsO5JEjjTkvWtBqvmpqffTSkASnYwi8BqdntVoTUqcBmD7sDDGNtDY9wG+A2gMWqqZQyfSs2RadUrlU5d5DhlJZ8XFYnGYhtzLGjh6iMNpJSFGJ6MEYg1PS0oSLQhKqnbWjIu+3+GjdLYy9o58V4fh31x33sB12qUgC83IiIgeBvAlAP8A4PEQwjkiuhbA3QBuBPAwgJeGEB6lg42C3gDgFgBfBvCKEMKHEvGvnRFziIlhbalhwfPyttKOjeCldo9NRal6V0vcsbqWUhb/ZqlHq2Pe8VhevKcZrcnoXAjhb8W91wH4fAjhDiK6HcA1IYTbiOgWAD+BAzK6CcAbQgg3JeJfOxkB5cZLC5K4StU9aZQ+7cQ0FXJmLqXtjSFVVD1rGPML6vVzgKnJ6EEAixDCZ4noOgD7IYSzRPTm4fouHS4S/yzISEJOo6f8a1KwVL4cN4KU97FnK2nZAdZhjG6JlE2IJR/p1OkZpnPUMI6z4yhaktFfAngUQADw5hDCnUT0hRDC1SLMoyGEa4joXgB3hBA+MNx/H4DbQgj3ReKfHRkxvFm3WoKq8W2SpJRDDtqpz/rtGc8t+9Umda7YrJr3zbJO9Iyifqfbg+rQkozOhBAuEtE3AHgvDtSwexwy+l0Ar1Vk9OoQwv0qzlsB3Dr8fHbuR20SctS+3KUpDM/w7aVtdUyPpPT72n4yF3hkmvoO4KintEbONsUacyubuWKS2TQiWgJ4DMC/wwlW01ojRUylqpyeNs6RliwSyiHMWlLS77QgNp33mLRnYTGsjrf8ryyP8U5CbdCEjIjoyQCeEEL40nD9XgD/FcB3AficMGBfG0J4NRF9H4BX4ZIB+40hhOck0jjxZKSRO3tXagTP3Uq3BB55lc5g5aiGpQghHM5s6hNftCFar5D3/Kw6AbVHKzJ6OoB3DT8vB/BbIYSfI6KnAHgHgH8C4NMAXhJC+Pwwtf/LAF6Ag6n9H43Zi4Y0Th0ZWZiCoPQi31aSiY4rl6RypCVLtbLykPKClqQiHRUl+mzYatCdHjcYpcRUIjXpeGo6nEcqOSpgrs3Ke5clHkk07IQIIFv6YXQSmh6djE4QcmxOWiqo7VC6w8rOWiL18D2JEmlKk5Wcgpf3pToW2ykgNQPaCWg6dDI6oSg1hkv/mDFLWSySSkk1OYZ1KxwTjIxLkh0bogF79ouRIqFOQKtBJ6NTgpwZMSC93k4v9GR49y1Ys3zWDJhWtRi8kZy1rGIxOChqAolJclYcHatHJ6NTjFyCYsT8bgB7y5GxC4alv48nZXn7AQFd6tkkdDLqOEQpOTG8zh7buycXektWed/bvrbbfjYTnYw6ilBLWBIpCUvDO06pZE1gJ5/5o5NRxyi0IKcp0Mln89DJqGOlmIK8OvGcDHQy6ujomAVyyOgJq8hIR0dHRwqdjDo6OmaBTkYdHR2zQCejjo6OWaCTUUdHxyzQyaijo2MW6GTU0dExC3Qy6ujomAU6GXV0dMwCnYw6OjpmgU5GHR0ds8Dl687AgMcAPLjuTDj4OgB/mwy1esw1X8B889bzVY4WefunOYHmQkYPhhDOrTsTFojovjnmba75Auabt56vcqwyb11N6+jomAU6GXV0dMwCcyGjO9edgQjmmre55guYb956vsqxsrzNYnO1jo6OjrlIRh0dHaccaycjInoBET1IRA8R0e0rTvvXiOgRIvqYuHctEb2XiD45/L9muE9E9MYhn39KRM+aMF83ENEeET1ARB8nop+cUd6eRER/TEQfHfK2O9x/GhF9cMjb3UT0xOH+lcPvh4bnN06VtyG9y4jow0R078zy9TAR/RkRfYSI7hvuzaE+ryaidxLR/x7a281ry1cIYW1/AC4D8CkATwfwRAAfBfAtK0z/OwA8C8DHxL3XAbh9uL4dwM8P17cA+H0ABOC5AD44Yb6uA/Cs4foqAJ8A8C0zyRsB+Orh+goAHxzSfAeAlw33fxXAfxiufxzArw7XLwNw98R1+tMAfgvAvcPvueTrYQBfp+7NoT7fCuDfDtdPBHD1uvI1WeFnFsTNAN4jfr8GwGtWnIcbFRk9COC64fo6HPhAAcCbAfygFW4FeXw3gOfPLW8A/hGADwG4CQeOcZfregXwHgA3D9eXD+FoovxcD+B9AL4TwL1Dp1l7voY0LDJaa30C+BoAf6m/e135Wrea9lQAnxG/Lwz31ol/HEL4LAAM/79huL+WvA7qwzNxIIHMIm+DKvQRAI8AeC8OpNsvhBAeN9I/zNvw/IsAnjJR1l4P4NUAvjL8fspM8gUAAcD/IqL7iejW4d666/PpAP4GwK8Pqu1/J6Inrytf6yYj6/iSuU7vrTyvRPTVAH4bwE+FEP4uFtS4N1neQgj/EEL4dhxIIs8B8M8i6a8kb0T0/QAeCSHcL2+vO18CzwshPAvA9wL4j0T0HZGwq8rb5TgwU7wphPBMAP8HB2rZWvK1bjK6AOAG8ft6ABfXlBfGXxPRdQAw/H9kuL/SvBLRFTggot8MIfzOnPLGCCF8AcA+DuwHVxMRLy+S6R/mbXj+tQA+P0F2ngfgXxHRwwDejgNV7fUzyBcAIIRwcfj/CIB34YDE112fFwBcCCF8cPj9ThyQ01rytW4y+hMAzxhmPJ6IA0PiPWvO0z0AXj5cvxwH9hq+/yPDjMJzAXyRRdnWICIC8BYAD4QQfnFmeft6Irp6uP4qAN8N4AEAewBe7OSN8/xiAO8Pg8GhJUIIrwkhXB9CuBEH7ej9IYQfWne+AICInkxEV/E1gH8J4GNYc32GEP4KwGeI6Oxw67sA/Pna8jWVwa7AiHYLDmaLPgXgv6w47bsAfBbA/8MB678SB3aD9wH45PD/2iEsAfiVIZ9/BuDchPn6FzgQf/8UwEeGv1tmkrdvA/DhIW8fA/Azw/2nA/hjAA8B+B8ArhzuP2n4/dDw/OkrqNcFLs2mrT1fQx4+Ovx9nNv5TOrz2wHcN9Tn/wRwzbry1T2wOzo6ZoF1q2kdHR0dADoZdXR0zASdjDo6OmaBTkYdHR2zQCejjo6OWaCTUUdHxyzQyaijo2MW6GTU0dExC/x/WHxrFD1Ii58AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "km1 = KMeans(n_clusters=5, n_init=10, init=\"k-means++\")\n",
    "X = healthy.values.reshape(-1, 1)\n",
    "y = km1.fit_predict(X)\n",
    "\n",
    "summary = pd.DataFrame(X)\n",
    "summary[\"cluster\"] = y\n",
    "summary = summary.groupby(\"cluster\")[0].agg([\"mean\", \"count\"])\n",
    "summary[\"pct\"] = summary[\"count\"]/len(X)\n",
    "summary.drop(columns=[\"count\"], inplace=True)\n",
    "print(summary.sort_values(\"mean\"))\n",
    "\n",
    "\n",
    "plt.imshow(y.reshape(566, 646), cmap = \"gray\")\n",
    "print(\"Inertia: \", km1.inertia_)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Inertia:  294.27083020388034\n",
      "             mean       pct\n",
      "cluster                    \n",
      "1        0.007081  0.476911\n",
      "0        0.182392  0.175692\n",
      "4        0.284297  0.210373\n",
      "3        0.427691  0.106368\n",
      "2        0.613217  0.030655\n",
      "CPU times: user 9.07 s, sys: 260 ms, total: 9.33 s\n",
      "Wall time: 1.57 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "km2 = KMeans(n_clusters=5,n_init=10, init=\"k-means++\")\n",
    "X = tumor.values.reshape(-1, 1)\n",
    "y = km2.fit_predict(X)\n",
    "plt.imshow(y.reshape(tumor.shape[0], tumor.shape[1])\n",
    "           , cmap = \"gray\", interpolation=\"nearest\")\n",
    "print(\"Inertia: \", km2.inertia_)\n",
    "\n",
    "summary = pd.DataFrame(X)\n",
    "summary[\"cluster\"] = y\n",
    "summary = summary.groupby(\"cluster\")[0].agg([\"mean\", \"count\"])\n",
    "summary[\"pct\"] = summary[\"count\"]/len(X)\n",
    "summary.drop(columns=[\"count\"], inplace=True)\n",
    "print(summary.sort_values(\"mean\"))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
